This self checking worksheet uses a quadratic base, but the equations have different exponents. Some are whole numbers, some fractions and some negative whole numbers: 3x^(2/5) - 4x^(1/5) - 4 = 0 also x^10 - 34x^5 + 64 = 0 and 24x^(-4) - 41x^(-2) + 12 = 0. The students must be able to work with complex numbers and radicals as well as factor trinomials. The student must check the solution and ignore extraneous solutions. When finished, the student will learn an obvious statement.